I have stayed at Kidani both solo and with the family several times. It is a wonderful addition to the family of resorts at WDW. AKV, both Jambo House and Kidani Village, really can help transport you mentally to another place. The resort is quiet, and the animals can be mesmerizing. Be very careful though, especially with your kids, to not allow anything to be (even accidentally) thrown over the side of the balconies. They are very protective of the animals, and signs are posted everywhere about this - even to the point of eviction if they catch you. Both rooftop and ground level video cameras are posted all over the place along the savannahs.
I agree with Christian, avoid the Pembe Savannah if at all possible. The animals on that savannah are minimal - mostly of the bird and warthog variety. Plus you'll have a longer ariel view of non-WDW property and resorts if you're on the upper floors. There really is just something less magical about seeing Target over the treetops.
If you can request to be on the Sunset Savannah, it'll be much better - there you'll find zebras, giraffes, ankole cattle and gazelles, plus the various birds, etc. I would call back and make the request for a Sunset Savannah view, so even though not guaranteed, you'll at least have your desires known.
Here's a map of Kidani Village for you:
For a nice quiet time, be sure to check out the Library off of the lobby area. It is a nice sitting room, with a great fireplace - no books to be found, except the ones you bring in yourself. The Community Hall is located just down the hall from the Library. Like other DVC resorts with a CH, you can check out the various movies, games, etc. They have a pool table, and the assorted video gaming stations. There are lots of daily activities at Kidani, as well as over at Jambo House.
The store, Johari Treasures, is much smaller than the one over at Jambo House. There is a drink refill station there, as well as out at the Maji pool bar. The lack of a QS location is a big problem for many families. We never had a problem with this, not minding the walk over to Jambo House and the Mara when we need QS stuff.
The hallways at Kidani are LOOOOOOOOOOOOOONNNNNNNNNNGGGGGGGGGG. if you end up being at the end or near the end (as I did on one trip), you will really regret it if you forget something in your room when you set out for the day or your next excursion.
Parking (if you have a vehicle with you), is located directly underneath the building. You can get pretty close to where your villa is and then take the elevator up from there. That is a nice feature.
The pool complex is great! It currently has the longest slide of any pool at WDW. Guests of the greater resort (both KV and Jambo) can use the pool, but pool hopping from other resorts is not allowed. There are afternoon activities and games around the pool. The workout/fitness room is located near the pool. There are restrooms there that you can change in or out of your swim wear if you'd like. You do need a room key to access the pool area, though there have been times that gates have been left open for whatever reason. There are two hot tubs at the pool - one on the upper level by the fitness center and water slide entrance, and one on the lower level by the pool bar.
There are sports courts, as well as the bbq pavilion. You can borrow basketball, shuffle board and tennis gear from the Community Hall, as well as bbq cooking gear. They are charcoal grills, so if you want to use them, you'll need to provide the charcoal. There are 3 or 4 grills, plus picnic tables under a shelter house by the sports courts.
The buses to the theme parks stop first at Kidani Village, then stop at Jambo House and then proceed directly to the park in question. You can also hop on any theme park bus to get a quick ride over to Jambo House - though it is really only about a 5 minute walk between the 2 buildings.
The buses to DTD stop first at Jambo House, then stop at Kidani Village, and then proceed directly to DTD.
The AKV buses do not share their route with any other resorts - which helps since the resort is "far" from places like the MK or DTD (though technically almost everything is "far" from something at WDW).
One of the nice things about KV of course, are the 2nd bathrooms in the 1 BR villas. The master bath is huge too.
I hope that helps a little for you...